Similarities between Continuous function and Hausdorff space
Continuous function and Hausdorff space have 19 things in common (in Unionpedia): Closed set, Compact space, Continuous function, Graph of a function, Kolmogorov space, Limit of a sequence, Mathematics, Metric space, Neighbourhood (mathematics), Net (mathematics), Open and closed maps, Open set, Quotient space (topology), Real number, Subspace topology, Surjective function, Topological space, Topology, Uniform space.
Closed set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.
Closed set and Continuous function · Closed set and Hausdorff space ·
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
Compact space and Continuous function · Compact space and Hausdorff space ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Continuous function and Continuous function · Continuous function and Hausdorff space ·
Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
Continuous function and Graph of a function · Graph of a function and Hausdorff space ·
Kolmogorov space
In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other.
Continuous function and Kolmogorov space · Hausdorff space and Kolmogorov space ·
Limit of a sequence
As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.
Continuous function and Limit of a sequence · Hausdorff space and Limit of a sequence ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Continuous function and Mathematics · Hausdorff space and Mathematics ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
Continuous function and Metric space · Hausdorff space and Metric space ·
Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
Continuous function and Neighbourhood (mathematics) · Hausdorff space and Neighbourhood (mathematics) ·
Net (mathematics)
In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence.
Continuous function and Net (mathematics) · Hausdorff space and Net (mathematics) ·
Open and closed maps
In topology, an open map is a function between two topological spaces which maps open sets to open sets.
Continuous function and Open and closed maps · Hausdorff space and Open and closed maps ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Continuous function and Open set · Hausdorff space and Open set ·
Quotient space (topology)
In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space.
Continuous function and Quotient space (topology) · Hausdorff space and Quotient space (topology) ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Continuous function and Real number · Hausdorff space and Real number ·
Subspace topology
In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a topology induced from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology).
Continuous function and Subspace topology · Hausdorff space and Subspace topology ·
Surjective function
In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).
Continuous function and Surjective function · Hausdorff space and Surjective function ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Continuous function and Topological space · Hausdorff space and Topological space ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
Continuous function and Topology · Hausdorff space and Topology ·
Uniform space
In the mathematical field of topology, a uniform space is a set with a uniform structure.
Continuous function and Uniform space · Hausdorff space and Uniform space ·
The list above answers the following questions
- What Continuous function and Hausdorff space have in common
- What are the similarities between Continuous function and Hausdorff space
Continuous function and Hausdorff space Comparison
Continuous function has 150 relations, while Hausdorff space has 74. As they have in common 19, the Jaccard index is 8.48% = 19 / (150 + 74).
References
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